| Full text | |
| Author(s): |
Bernardi, Alessandra
[1]
;
Jelisiejew, Joachim
[2]
;
Marques, Pedro Macias
[3]
;
Ranestad, Kristian
[4]
Total Authors: 4
|
| Affiliation: | [1] Univ Trento, Dipartimento Matemat, Via Sommarive 14, I-38123 Povo, Trento - Italy
[2] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw - Poland
[3] Univ Evora, Inst Invest & Formacao Avancada, Ctr Invest Matemat & Aplicacoes, Dept Matemat, Escola Ciencias & Tecnol, Rua Romao Ramalho 59, P-7000671 Evora - Portugal
[4] Univ Oslo, Matemat Inst, POB 1053, N-0316 Oslo - Norway
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | COLLECTANEA MATHEMATICA; v. 69, n. 1, p. 39-64, JAN 2018. |
| Web of Science Citations: | 2 |
| Abstract | |
Using Macaulay's correspondence we study the family of Artinian Gorenstein local algebras with fixed symmetric Hilbert function decomposition. As an application we give a new lower bound for the dimension of cactus varieties of the third Veronese embedding. We discuss the case of cubic surfaces, where interesting phenomena occur. (AU) | |
| FAPESP's process: | 14/12558-9 - Monads on projective varieties, syzygy bundles and Gorenstein Artin algebras |
| Grantee: | Marcos Benevenuto Jardim |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - International |